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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

Every student who studies art in a certain school receives exactly one of the grades A, B, C, or D. If 1 over 5 of the students receive A’s, 1 over 4 receive B’s, 1 over 2 receive C’s, and 10 students receive D’s, how many students in the school study art?

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The students who receive A’s, B’s, and C’s account for (1 over 5) + (1 over 4) + (1 over 2) of the students, that is, 19 over 20. This leaves 1 over 20 of the students receiving D’s. You know that 10 students receive D’s, so 10 is 1 over 20 of the total. This means that the total number of students is 10 times 20, or 200.

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